What is the equivalent resistance between a and b in given figure
What is the equivalent resistance between a and b in given figure
Aditya renapure , 6 Years ago
Grade 12
Electric Current> What is the equivalent resistance between...
1 AnswersSamyak Jain
Clearly, 15 
and 10 resistors are in series since same current flows through them.
Similarly, 20 and 30 are in series and 40 10 are in series.
Equivalent series resistance of 15 and 10 is (15 + 10) = 25 , that of 20 and 30 is 50
and that of 40 and 10 is 50 .
Take a point D between 2 and 5 whose potential is VD. Since the potential across a connecting wire
is same, potential of a point between 40 and 30 is also VD. Now, take a point C between two 10 resistors
whose potential is VC, which is also the potential of a point between 8 and 20 .
In short, potential difference between equivalent series resistance of 15 and 10 (25 ), between
equivalent series resistance of 40 and 10 (50 ) and between equivalent series resistance of
20 and 30 (50 ) is same and is |VC – VD| i.e.
25 , 50 and 50 resistors are in parallel whose equivalent resistance is
1/(1/25 + 1/50 + 1/50) = 1/{(2 + 1 + 1)/50} = 50 / 4 = 25/2 .
This 25/2 resistance is in series with 2 and 8 resistors.
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